The most relevant signals of UHECR anisotropies are those connected with large scales. Auger observed, with a remarkable statistical significance, a dipole anisotropy at energies above \(8\times 10^{18}\)  eV, with and amplitude at the level of \(6\%\)  and the phase pointing toward the galactic anti-center, signalling a clear extragalactic origin of these particles [1]}, [2]}. At lower energies, down to \(10^{18}\)  eV, the dipole amplitude has only upper limits at the level of \(1\%\) , with a phase that rotates with decreasing energy reaching the galactic center direction below \(10^{18}\)  eV, where the transition between galactic and extragalactic cosmic rays seems placed [1]}, [2]}, [5]}, [6]}.
